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10 cards from this deck
They have both magnitude (size) and direction.
a=(a1a2)\mathbf{a} = \begin{pmatrix} a_1 \\ a_2 \end{pmatrix}a=(a1a2)
∣a∣=a12+a22|\mathbf{a}| = \sqrt{a_1^2 + a_2^2}∣a∣=a12+a22
Add/subtract component-wise: a+b\mathbf{a} + \mathbf{b}a+b
Its magnitude changes, but the direction remains the same.
It shows how to get from the origin to a point.
Use AB→=B−A\overrightarrow{AB} = B - AAB=B−A.
A vector with a magnitude of 111 unit.
Shorten it by dividing by its magnitude 58\sqrt{58}58.
It represents a 2D vector with components xxx and yyy.
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